*4.1. Convergence Analysis*

As the Gauss-Seidel method with the SOR parameter is utilized to enhance the convergence of the linear system of equations in the field of numerical linear algebra, therefore as matter of fact, an identical approach is applied to enhance the rate of convergence for successive local linearization method. If, for resolving function *Z*, the SLLM technique at the (*t* + 1)th iteration is

$$B\_1 Z\_{t+1} = E\_{1\prime} \tag{68}$$

Then by revising, the new mode of the SLLM technique is indicated as

$$B\_1 Z\_{t+1} = (1 - \alpha) B\_1 Z\_t + \alpha E\_1,\tag{69}$$

Here ω represents the convergence improving the parametric quantity, and *B*1, *E*1 are the matrices. This revised SLLM technique enlarges in improving the accuracy and efficiency of current results.
